NCERT Class XII Chemistry
Chapter - The Solid State
Questions with Solutions

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Question : 5
Total: 50
How can you determine the atomic mass of an unknown metal if you know its density and the dimension of its unit cell? Explain.
Solution:  
Suppose the edge of the unit cell = a pm
Number of atoms present per unit cell = Z
Atomic mass of the element = M
Volume of the unit cell =(a pm)3
= (a×1010 cm )3
=a3×1030cm3
Density of the unit cell =
Massoftheunitcell
Volumeoftheunitcell

Mass of the unit cell
= Number of atoms in the unit cell × Mass of each atom = Z×m
where m= mass of each atom
m=
Atomicmass
Avogadrosnumber
=
M
N0

Density of the unit cell, ρ=
Z×M
a3 ×N0×1030
g / cm3
where edge, a is in pm and molar mass, M in g mol1.
Atomic mass can be calculated by using the expression
M=
ρ×a3×N0×1030
Z
g mol1
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